xenharmonic (microtonal wiki)

130edo divides the octave into 130 parts of size 9.231 cents each. It is the tenth zeta integral edo but not a gap edo. It can be used to tune a variety of temperaments, including hemiwürschmidt, sesquiquartififths, harry and hemischismic. It also can be used to tune the rank-three temperament jove, tempering out 243/242 and 441/440, plus 364/363 for the 13-limit and 595/594 for the 17-limit. It gives the optimal patent val for 11-limit hemiwürschmidt and sesquart and 13-limit harry temperaments.

7-limit commas: 2401/2400, 3136/3125, 19683/19600

11-limit commas: 441/440, 540/539, 3136/3125, 4000/3993

13-limit commas: 3136/3125, 243/242, 441/440, 351/350, 364/363

17-limit commas: 221/220, 364/363, 442/441, 595/594, 1275/1274, 4913/4875

Intervals

degree of 130edo	cents value	associated temperament
0	0.00
1	9.23
2	18.46
3	27.69
4	36.92
5	46.15
6	55.38
7	64.62
8	73.85
9	83.08	harry
10	92.31
11	101.54
12	110.77
13	120
14	129.23
15	138.46
16	147.69
17	156.92
18	166.15
19	175.38	sesquart
20	184.62
21	193.85	hemiwürschmidt
22	203.08
23	212.31
24	221.54
25	230.77
26	240
27	249.23	hemischismic
28	258.46
29	267.69
30	276.92
31	286.15
32	295.38
33	304.62
34	313.85
35	323.08
36	332.31
37	341.54
38	350.77
39	360
40	369.23
41	378.46
42	387.69
43	396.92
44	406.15
45	415.38
46	424.62
47	433.85
48	443.08
49	452.31
50	461.54
51	470.77
52	480
53	489.23
54	498.46
55	507.69
56	516.92
57	526.15
58	535.38
59	544.62
60	553.85
61	563.08
62	572.31
63	581.54
64	590.77
65	600
66	609.23
67	618.46
68	627.69
69	636.92
70	646.15
71	655.38
72	664.62
73	673.85
74	683.08
75	692.31
76	701.54
77	710.77
78	720
79	729.23
80	738.46
81	747.69
82	756.92
83	766.15
84	775.38
85	784.62
86	793.85
87	803.08
88	812.31
89	821.54
90	830.77
91	840
92	849.23
93	858.46
94	867.69
95	876.92
96	886.15
97	895.38
98	904.62
99	913.85
100	923.08
101	932.31
102	941.54
103	950.77
104	960
105	969.23
106	978.46
107	987.69
108	996.92
109	1006.15
110	1015.38
111	1024.62
112	1033.85
113	1043.08
114	1052.31
115	1061.54
116	1070.77
117	1080
118	1089.23
119	1098.46
120	1107.69
121	1116.92
122	1126.15
123	1135.38
124	1144.62
125	1153.85
126	1163.08
127	1172.31
128	1181.54
129	1190.77